Search a number
-
+
18478279872 = 26351391397
BaseRepresentation
bin10001001101011001…
…000010110011000000
31202200210010212200000
4101031121002303000
5300320414423442
612253325400000
71222623534033
oct211531026300
952623125600
1018478279872
117922564188
1236b8409000
13198634c320
14c7416b01a
15732380d4c
hex44d642cc0

18478279872 has 168 divisors, whose sum is σ = 59152054416. Its totient is φ = 5685562368.

The previous prime is 18478279871. The next prime is 18478279921. The reversal of 18478279872 is 27897287481.

18478279872 is a `hidden beast` number, since 1 + 8 + 478 + 2 + 7 + 98 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (18478279871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156478 + ... + 247874.

It is an arithmetic number, because the mean of its divisors is an integer number (352095562).

Almost surely, 218478279872 is an apocalyptic number.

18478279872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18478279872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29576027208).

18478279872 is an abundant number, since it is smaller than the sum of its proper divisors (40673774544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18478279872 is an equidigital number, since it uses as much as digits as its factorization.

18478279872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91437 (or 91415 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 63.

The spelling of 18478279872 in words is "eighteen billion, four hundred seventy-eight million, two hundred seventy-nine thousand, eight hundred seventy-two".